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Finding the Fourth Proportional to 12,912.44, 17,825.06 and 9,927.23

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Solution

The fourth proportional to 12,912.44, 17,825.06 and 9,927.23 is: 13,704.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.44 : 17,825.06 = 9,927.23 : x
  2. Step 2: Convert to fraction form
    12,912.44/17,825.06 = 9,927.23/x
  3. Step 3: Cross multiply
    12,912.44x = 17,825.06 × 9,927.23
  4. Step 4: Simplify right side
    12,912.44x = 176,953,406.08
  5. Step 5: Solve for x
    x = 176,953,406.08/12,912.44
  6. Step 6: Final answer
    x = 13,704.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.